• Journal of the Korean Data and Information Science Society
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• 제18권1호
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• pp.237-245
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• 2007

Nonlinear asymmetric time series models have the growing interest in econometrics and finance. Threshold model is one of the successful asymmetric model. We consider a smooth transition ARMA model which converges a.s. to a threshold ARMA model and show that the smooth transition ARMA model admits a stationary measure, provided a suitable condition on the coefficients of the autoregressive parts of the different regimes is satisfied. Stationarity of a smooth transition GARCH model is also obtained.

• Journal of the Korean Data and Information Science Society
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• 제20권2호
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• pp.453-458
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• 2009

In this paper, we consider Jarque-Bera (JB) normality test for the innovations of ARMA-GARCH models. In financial applications, JB test based on the residuals are routinely used for the normality of ARMA-GARCH innovations without a justification. However, the validity of JB test should be justified in advance of the actual practice (Lee et al., 2009). Through the simulation study, it is found that the validity of JB test depends on the shape of test statistic. Specifically, when the constant term is involved in ARMA model, a certain type of residual based JB test produces severe size distortions.

• 무역학회지
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• 제47권3호
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• pp.211-232
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• 2022

Due to the impact of the public health event COVID-19 epidemic, the Chinese futures market showed "Black Swan". This has brought the unpredictable into the economic environment with many commodities falling by the daily limit, while gold performed well and closed in the sunshine(Yan-Li and Rui Qian-Wang, 2020). Volatility is integral part of financial market. As an emerging market and a special precious metal, it is important to forecast return of gold futures price. This study selected data of the SHFE gold futures returns and conducted an empirical analysis based on the generalised autoregressive conditional heteroskedasticity (GARCH)-type model. Comparing the statistics of AIC, SC and H-QC, ARMA (12,9) model was selected as the best model. But serial correlation in the squared returns suggests conditional heteroskedasticity. Next part we established the autoregressive moving average ARMA-GARCH-type model to analysis whether Volatility Clustering and the leverage effect exist in the Chinese gold futures market. we consider three different distributions of innovation to explain fat-tailed features of financial returns. Additionally, the error degree and prediction results of different models were evaluated in terms of mean squared error (MSE), mean absolute error (MAE), Theil inequality coefficient(TIC) and root mean-squared error (RMSE). The results show that the ARMA(12,9)-TGARCH(2,2) model under Student's t-distribution outperforms other models when predicting the Chinese gold futures return series.

• Journal of the Korean Data and Information Science Society
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• 제27권6호
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• pp.1661-1671
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• 2016

Risk analysis is a systematic study of uncertainties and risks we encounter in business, engineering, public policy, and many other areas. Value at Risk (VaR) is one of the most widely used risk measurements in risk management. In this paper, the Korean Composite Stock Price Index data has been utilized to model the VaR employing the classical ARMA (1,1)-GARCH (1,1) models with normal, t, generalized hyperbolic, and generalized pareto distributed errors. The aim of this paper is to compare the performance of each model in estimating the VaR. The performance of models were compared in terms of the number of VaR violations and Kupiec exceedance test. The GARCH-GPD likelihood ratio unconditional test statistic has been found to have the smallest value among the models.

• 응용통계연구
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• 제29권7호
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• pp.1373-1383
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• 2016

풍력에너지 산업이 발전하고 풍력발전에 대한 의존율이 높아짐에 따라 안정적인 공급이 중요해지고 있다. 원활한 전력수급계획을 세우기 위해서 풍력발전량을 정확히 예측하는 것이 중요하다. 본 논문에서는 강원도 평창 횡계리에 설치된 대관령 2풍력(2MW 1기)의 시간별 풍력발전 데이터와 강원도 대관령 기상대에서 관측되는 시간별 풍속과 풍향 데이터를 기상청 지상관측자료에서 수집하여 연구하였다. 풍력발전량 예측을 위하여 신경망 모형과 시계열 모형인 ARMA, ARMAX, ARMA-GARCH, Holt Winters 모형을 비교하였다. 모형 간 예측력을 비교하기 위해 mean absolute error(MAE)를 사용하였다. 모형의 예측 성능 비교 결과 1시간에서 3시간의 단기 예측에 있어서 ARMA-GARCH 모형이 우수한 예측력을 보였다. 6시간 이후 예측에서는 신경망 모형이 우수한 예측을 보였다.

• 응용통계연구
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• 제29권1호
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• pp.1-12
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• 2016

금융시계열은 일반 시계열과는 차별적으로 stylized facts로 불리는 특징을 가지고 있다. 이 특징들은 급첨 성질, 비정규분포, 변동성 집중 및 비대칭성을 포함한다. 이러한 특징들을 설명하기 위해서는 기존의 선형 ARMA 모형에서 벗어난 특수한 모형이 필요하게 되었다. 본 논문은 변동성 모형인 GARCH 형태의 모형을 중심으로 특수 금융시계열 모형들을 소개하고 연관된 통계적 이슈들에 대해 가능한 최근 연구를 중심으로 폭 넓게 조망하고 있다.

• Journal of the Korean Data and Information Science Society
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• 제24권6호
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• pp.1477-1488
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• 2013

In this study, we analyze the dependence structure of KOSPI and NYSE indices based on a two-step estimation procedure. In the rst step, we adopt ARMA-GARCH models with Gaussian mixture innovations for marginal processes. In the second step, time-varying copula parameters are estimated. By using these, we measure the dependence between the two returns with Kendall's tau and Spearman's rho. The two dependence measures for various copulas are illustrated.

• Journal of the Korean Statistical Society
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• 제36권2호
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• pp.183-200
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• 2007

We consider a nonlinear autoregressive moving average model with nonlinear GARCH errors, and find sufficient conditions for the existence of a strictly stationary solution of three related time series equations. We also consider a geometric ergodicity and functional central limit theorem for a nonlinear autoregressive model with nonlinear ARCH errors. The given model includes broad classes of nonlinear models. New results are obtained, and known results are shown to emerge as special cases.

• 응용통계연구
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• 제27권7호
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• pp.1257-1268
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• 2014

KTX에 등장에 따라 국내 여객시장은 KTX 시장을 중심으로 변화가 이루어졌다. 이에 따라 KTX 이용 여객의 수요예측은 열차 운영에 있어서 매우 중대한 사안이다. 본 논문에서는 여러 시계열 모형의 비교를 통해 KTX 이용 여객의 수요와 연관이 있는 요일과 공휴일, 명절을 어떠한 형태로 고려할 것인지 연구하였다. 모형 간 예측력을 비교하기 위하여 Mean Absolute Percentage Errors (MAPE)를 사용하였으며, 1달간의 단기간 예측에 있어서 변동성을 고려해줄 수 있는 Reg-AR-GARCH 모형이 우수한 예측력을 나타냈으며, 1달을 초과한 기간의 예측에서는 Reg-ARMA 모형이 우수한 예측력을 나타냈다.

• 동아시아경상학회지
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• 제1권1호
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• pp.17-21
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• 2013

Purpose: Forecasting of petroleum consumption is useful in planning and management of petroleum production and control of air pollution. Research Design, Data and Methodology: ARMA models, sometimes called Box-Jenkins models after the iterative Box-Jenkins methodology usually used to estimate them, are typically applied to auto correlated time series data. Results: Petroleum consumption modeling plays a role key in big urban air pollution planning and management. In this study three models as, MLFF, MLFF with GARCH (1,1) and ARMA(1,1), have been investigated to model the petroleum consumption forecasts. Certain standard statistical parameters were used to evaluate the performance of the models developed in this study. Based upon the results obtained in this study and the consequent comparative analysis, it has been found that the MLFF with GARCH (1,1) have better forecasting results.. Conclusions: Survey of data reveals that deposit of government policies in recent yeas, petroleum consumption rises in Tehran and unfortunately more petroleum use causes to air pollution and bad environmental problems.